Answer
The graph is shown below.
Work Step by Step
The given equation of the line is
$\Rightarrow x-2y=6$
Plug $y=0$ for the $x−$intercept.
$\Rightarrow x=6$
The $x−$intercept is $6$, so the line passes through $(6,0)$.
Plug $x=0$ for the $y−$intercept.
$\Rightarrow 0-2y=6$
Simplify.
$\Rightarrow -2y=6$
Divide both sides by $-2$.
$\Rightarrow \frac{-2y}{-2}=\frac{6}{-2}$
Simplify.
$\Rightarrow y=-3$
The $y−$intercept is $-3$, so the line passes through $(0,-3)$.
Checkpoint plug $x=2$.
$\Rightarrow 2-2y=6$
Subtract $2$ from both sides.
$\Rightarrow 2-2y-2=6-2$
Simplify.
$\Rightarrow -2y=4$
Divide both sides by $-2$.
$\Rightarrow \frac{-2y}{-2}=\frac{4}{-2}$
Simplify.
$\Rightarrow y=-2$
The checkpoint is $(2,-2)$.
Draw a straight line through these three points.